2079000000 has 784 divisors, whose sum is σ = 9524878080. Its totient is φ = 432000000.

The previous prime is 2078999981. The next prime is 2079000031. The reversal of 2079000000 is 9702.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 188999995 + ... + 189000005.

Almost surely, 2^2079000000 is an apocalyptic number.

2079000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762439040).

2079000000 is an abundant number, since it is smaller than the sum of its proper divisors (7445878080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2079000000 is an frugal number, since it uses more digits than its factorization.

2079000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2079000000 is about 45596.0524607120. The cubic root of 2079000000 is about 1276.2962595345.

Adding to 2079000000 its reverse (9702), we get a palindrome (2079009702).

The spelling of 2079000000 in words is "two billion, seventy-nine million", and thus it is an aban number and an uban number.